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Last updated on March 3rd, 2025
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 16. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
1/16 in decimals can be written as 0.0625. It is a terminating decimal, meaning it ends and does not repeat infinitely.
Explanation
To get 1/16 in decimal form, we will use the division method. Here, as 1 is smaller than 16, we will take the help of the decimal method, which will give us 0.0625. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (16) will be taken as the divisor.
Step 2: As 1 is smaller than 16, it can't be divided directly. Here, we will take the help of decimals. We will add 0 to the dividend, which will make 1 as 10 and add a decimal point in the quotient place.
Step 3: Now that it is 10, we can divide it by 16. Since 10 is less than 16, we add another 0 to make it 100.
Step 4: 100 divided by 16 is 6, as 16 × 6 = 96. We write 6 in the quotient place and subtract 96 from 100 to get 4.
Step 5: Bring down another 0 to make it 40. 40 divided by 16 is 2, as 16 × 2 = 32. Subtract 32 from 40 to get 8.
Step 6: Bring down another 0 to make it 80. 80 divided by 16 is 5, as 16 × 5 = 80. This leaves us with a remainder of 0, and the division process ends.
The answer for 1/16 as a decimal will be 0.0625.